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Finding the Third Proportional to 32,033.81 and 74,844.84

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Solution

The third proportional to 32,033.81 and 74,844.84 is: 174,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.81 : 74,844.84 = 74,844.84 : x
  2. Step 2: Convert to fraction form
    32,033.81/74,844.84 = 74,844.84/x
  3. Step 3: Cross multiply
    32,033.81x = 74,844.84 × 74,844.84
  4. Step 4: Simplify right side
    32,033.81x = 5,601,750,635.96
  5. Step 5: Solve for x
    x = 5,601,750,635.96/32,033.81
  6. Step 6: Final answer
    x = 174,869.93

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.